Answer:
The current sale price is;
[tex]\text{\$}568.4[/tex]Explanation:
Given that the selling price was first at $812.
Then the store advertised a 30% markdown on the system.
the markdown percent can be expressed as;
[tex]\begin{gathered} \text{\%}P=\frac{\Delta S}{S}\times100\text{\%} \\ \text{\%}P=mark\text{ up percent} \\ S=\text{ initial selling price} \\ \Delta S=amount\text{ reduction in selling price} \end{gathered}[/tex]given;
[tex]\begin{gathered} \text{\%}P=30\text{\%} \\ S=\text{ \$812} \\ \text{substituting;} \\ 30\text{\%}=\frac{\Delta S}{812}\times100\text{\%} \\ \Delta S=\frac{812\times30\text{\%}}{100\text{\%}} \\ \Delta S=\text{ \$243.6} \end{gathered}[/tex]So, the current selling price will be;
[tex]\begin{gathered} S_N=S-\Delta S \\ S_N=\text{ \$812}-\text{ \$243.6} \\ S_N=\text{ \$}568.4 \end{gathered}[/tex]The current sale price is;
[tex]\text{\$}568.4[/tex]